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Quantitative Aptitude Practice Test: Simplification And Simplification Word Problems
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Avg score: 17% • Most missed: “If \(\frac{a}{b+c}\)=x, \(\frac{b}{c+a}\)=y and \(\frac{c}{a+b}\)=z, then find t…”
Simplification is the process of replacing a mathematical expression with a simpler, equivalent one. Simplifying an expression involves writing it in its simplest form, without any more adding, subtracting, multiplying, or dividing. For example, the expression 4 + 6 + 5 can be simplified to 15.    Simplification can involve: Algebraic expressions, Boolean expressions, Fractions, Conjunction elimination.  Simplification can help to: Reduce a fraction by canceling it to the lowest common factor (LCM) for both the numerator and the denominator to its lowest term Reduce an algebraic... Show more
Quantitative Aptitude Practice Test: Simplification And Simplification Word Problems
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25 Questions

1. A man spends 2/7th of his salary on house rent, 5/12th of his salary on food and 1/6th of his salary on conveyance. If he has Rs.2200 left with him. Find his expenditure on food.
2. If x=1-2q and y=2q+5, then for what value of q, x is equal to y?
3. If a-b=16 and a2-b2=544, find the value of 2ab.
4. In a family, the brother took 1/4 of the cake and he had 4 times as much as each of the other members had. How many members were there in the family?
5. Find the value of 2a3-[3a3+4a2-{2a3-7a3}+5a3-7a2].
6. The cost of 7 pens and 5 pencils is Rs.95. One half of the cost of one pen is equal to the cost of one pencil. What is the total cost of one pen and one pencil?
7. If b+\(\frac{1}{c}\)=1 and a+\(\frac{1}{b}\)=1, the find the value of abc.
8. If \(\frac{p}{4}=\frac{q}{5}=\frac{r}{9}\), then find the value of \(\frac{p+q+r}{r}\).
9. If (2p+3q)(2r-3s)=(2p-3q)(2r+3s), then which of the following is true?
10. A fourth of Ajay’s marks in Mathematics exceeds a fourth of his marks in English by 10. If he got 280 marks in the two subjects together, how many marks he got in mathematics?
11. If a, b, c, ……, x, y, z are 26 natural numbers, then what is the value of (t-a)(t-b)(t-c)……(t-y)(t-z)?
12. If 0
13. If x*y=\(\frac{xy}{x+y}\), then find the value of 5*(4*-2).
14. Find the value of \(\frac{1}{4}\)÷2\(\frac{3}{4}\) of \(\frac{5}{4}-\frac{\frac{1}{2}-\frac{1}{3}}{\frac{1}{2}+\frac{1}{3}}\)*5 \(\frac{1}{4}+\frac{7}{4}\).
15. Find x, if \(\frac{x}{7}-\frac{x}{9}\)=2.
16. In a caravan, in addition to 40 hens there are 55 goats and 12 camels with some keepers. If the total number of feet be 268 more than the number of heads, find the number of keepers.
17. Which of the following can be used to compute \(\Big(48*5\frac{3}{5}\Big)\)?
18. If \(\frac{2p+q}{p+4q}\)=3, then find the value of \(\frac{p+q}{p+2q}\).
19. Neha has 115 currency notes in all, some of which were of Rs.10 denomination and the remaining of Rs.20 denomination. The total amount of all these currency notes was Rs.1770. How much amount did she have in the denomination of Rs.20?
20. If p+q+r=0, then find the value of \(\frac{p^2}{p^2-qr}+\frac{q^2}{q^2-pr}+\frac{r^2}{r^2-pq}\).
21. In an objective examination of 120 questions, 4 marks are allotted for every correct answer and 1 mark is deducted for every wrong answer. After attempting all 120 questions a student got a total of 290 marks. Find the number of questions he attempted wrong.
22. If a+b+c=0, then a2+ab+b2 is equal to which of the following?
23. If x=yz and z=x-y, then find the value of x.
24. If \(\frac{a}{b}=\frac{7}{6}\), then find the value of \(\Big(\frac{6}{7}-\frac{6a-b}{6a+b}\Big)\).
25. A man divides Rs.129000 among 4 sons, 5 daughters and 3 nephews. If each daughter receives four times as much as each nephew and each son receives five times as much as each nephew, how much does each daughter receive?

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